Nontrivial solutions for a class of perturbed fractional differential systems with impulsive effects

Boundary value problems

Yulin Zhao²  Yanlin Zhao³ 

[1] School of Energy and Safety Engineering, Hunan University of Science and Technology, Xiangtan, People’School of Science, Hunan University of Technology, Zhuzhou, People’s Republic of China

关键词: nontrivial solution;    impulsive effects;    fractional differential systems;    variational methods;    critical point theory;    34B15;    26A33;    34K45;   

DOI  :  10.1186/s13661-016-0635-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a class of nonlinear impulsive fractional differential systems including Lipschitz continuous nonlinear terms is studied. Under suitable hypotheses and by using variational methods, some new criteria to guarantee that the fractional differential system has at least two nontrivial and nonnegative solutions are obtained. In addition, an example is presented to illustrate the applicability of the main results.

【 授权许可】

CC BY